Coherence-Induced Gravity: Structured Resonance as a Fundamental Component of Spacetime Dynamics

This revised theoretical preprint develops Coherence-Induced Gravity as a restricted effective correction class for gravitational dynamics. It follows Phase-Coherent Spacetime: A Resonance-Driven Extension to General Relativity, which introduced the effective metric ansatz g_μν = ḡ_μν + εΨ_μν and treated resonance-induced metric corrections as perturbative deviations from a standard relativistic comparison regime. The present paper advances that construction from the metric-ansatz level to the field-equation, variational, conservation, and observational-comparison levels. It introduces a resonance-induced curvature-response term R_μν^ (res) Ψ, defined as an effective contribution associated with the correction tensor Ψ_μν, and formulates a schematic effective action-level representation compatible with covariance, perturbative restriction, conservation compatibility, and reduction to the standard relativistic limit when ε → 0. The framework keeps the resonance correction on the curvature side of the comparison equation unless a bookkeeping tensor is explicitly introduced. Geodesic effects are formulated as residual deviations relative to the background metric rather than as a new force law. Observational domains, including gravitational-wave propagation, weak and strong lensing, galactic and large-scale-structure residuals, pulsar timing arrays, and laboratory or precision-test regimes, are treated as constraint regimes for parameter restriction and model comparison. The paper does not present Coherence-Induced Gravity as a completed theory of quantum gravity, a replacement for general relativity, a direct empirical validation, or an operational control framework. Its contribution is formal and classificatory: it specifies how a resonance-induced metric correction may be written as a covariance-compatible, conservation-compatible, perturbatively admissible gravitational correction.